Atkin-Lehner |
2- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12728b |
Isogeny class |
Conductor |
12728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
32382883072 = 28 · 37 · 434 |
Discriminant |
Eigenvalues |
2- 3 -4 1 -3 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,17540] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:3698:27] |
Generators of the group modulo torsion |
j |
1115696526336/126495637 |
j-invariant |
L |
6.2507442727792 |
L(r)(E,1)/r! |
Ω |
1.131114555643 |
Real period |
R |
1.3815453619607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25456b1 101824c1 114552c1 |
Quadratic twists by: -4 8 -3 |